At Denver International Airport, 81% of recent flights have arrived on time. A sample of 12 flights is studied. Round the probabilities to at least four decimal places. ) It would be unusual for 11 or more of the flights to be on time since the probability is what?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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At Denver International Airport, 81% of recent flights have arrived on time. A sample of 12 flights is studied. Round the probabilities to at least four decimal places. ) It would be unusual for 11 or more of the flights to be on time since the probability is what? 

Expert Solution
Step 1

Given p = 0.81, n = 12

X ~ B(n, p)

 

P(X=x) = Cxn px (1-p)n-x

P(X11) = C1112 (0.81)11 (1-0.81)12-11+ C1212 (0.81)12 (1-0.81)12-12

                = 0.2245 + 0.0797

                = 0.3042

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